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Quick Answer. It takes 9 to 10 hours to cook a 3-pound beef top round roast in a Crock-Pot at the low setting. The roast only requires about 5 hours of cooking time at the high setting, but this tough cut of meat isn't recommended for cooking on the high setting. The faster cook time and higher temperature doesn't break down the tough meat fibers and leaves the roast tough.
A boneless beef cut like a top round roast typically takes 30 to 35 minutes per pound to reach the USDA-recommended temperature of 145 degrees Fahrenheit when roasted at 350 F, a total of 120 to 140 minutes. To cook it to medium-rare, or 135 F, subtract about 7 minutes per pound, for an estimated cooking time of a little over 1 1/2 hours. To cook the top round to medium-well, or 155 F, add about 7 minutes per pound to the medium estimate, for an approximate cooking time of a bit more than 2.5 hours.